So what you meant to say in your original post is that one article you found after the fact determined the false positive rate for ONLY asymptomatic people could be anywhere from 25-60%.I am pretty sure that is for people that are showing symptoms, people without symptoms are different, same article:
Accuracy for people without COVID-19 symptoms
The researchers found that people without COVID-19 symptoms correctly tested positive in 58.1 percent of rapid tests. The 95 percent confidence intervals were 40.2 to 74.1 percent.
Have you gone back to find anything regarding your claim the tests can’t differentiate between viruses?